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Qormaata galuumsa kutaa 12ffaa Herregaa, bara 2018 A.L.I (2026), maxxansa 3

Gaaffilee dhugaa qormaata galuumsa yunivarsiitii kutaa 12 kan Herregaa, akkuma barattoonni bara 2018 A.L.I itti fudhatanitti. Tokkoon tokkoon gaaffii deebii sirrii fi ibsa qaba. Qormaanni bara 2018 A.L.I maxxansa adda addaatiin bahe. Fuulli kun maxxansa 3 qaba; kaan gadi aanee tarreeffamaniiru.

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Gaaffii 1

Which of the following statement defines an arithmetic progression?

  1. A.It is a sequence in which the ratio between consecutive terms is a positive constant.
  2. B.It is a sequence in which the difference between consecutive terms is a non-zero constant.
  3. C.It is a sequence in which the difference between consecutive terms is a constant.
  4. D.It is a sequence in which the ratio between consecutive terms is a non-zero constant.
Deebii fi ibsa ilaalaa

Deebii: C It is a sequence in which the difference between consecutive terms is a constant.

Maaliif

An arithmetic progression is a sequence of numbers in which the difference between consecutive terms is a constant (which can be positive, negative, or zero). Option B is incorrect because the common difference can be zero (e.g., the constant sequence 5, 5, 5, ...).

Gaaffii 2

The simplified form of the expression (√32 + √48) / (√8 + √12) is equal to:

  1. A.√2
  2. B.4
  3. C.1
  4. D.2
Deebii fi ibsa ilaalaa

Deebii: D 2

Maaliif

Simplifying the radicals gives numerator 42+43=4(2+3)4\sqrt{2} + 4\sqrt{3} = 4(\sqrt{2} + \sqrt{3}) and denominator 22+23=2(2+3)2\sqrt{2} + 2\sqrt{3} = 2(\sqrt{2} + \sqrt{3}). Dividing them yields 4/2=24/2 = 2.

Gaaffii 4

Which one of the following pairs of numbers are irrational numbers between 11 and 13?

  1. A.√120 and √168
  2. B.3+√81 and 2√37
  3. C.2+√112 and 3√17
  4. D.√125 and √175
Deebii fi ibsa ilaalaa

Deebii: C 2+√112 and 3√17

Maaliif

Since 112=12111^2 = 121 and 132=16913^2 = 169, we want irrational numbers whose square lies between 121 and 169. For option C, 2+1122 + \sqrt{112} is approximately 2+10.58=12.582 + 10.58 = 12.58, and 317=1533\sqrt{17} = \sqrt{153} is approximately 12.3712.37; both are irrational numbers in the open interval (11,13)(11, 13).

Gaaffii 5

If a polynomial function f(x)=x³+ax²+bx+3 is divided by x+2 the remainder is 15 and x-1 is a factor of f(x), then what are the values of a and b respectively?

  1. A.-6,2
  2. B.6,2
  3. C.2,6
  4. D.2,-6
Deebii fi ibsa ilaalaa

Deebii: D 2,-6

Maaliif

Using the Remainder Theorem, f(1)=1+a+b+3=0  ⟹  a+b=−4f(1) = 1 + a + b + 3 = 0 \implies a + b = -4, and f(−2)=−8+4a−2b+3=15  ⟹  2a−b=10f(-2) = -8 + 4a - 2b + 3 = 15 \implies 2a - b = 10. Solving this system of equations yields a=2a = 2 and b=−6b = -6.

Gaaffii 7

Which of the following ordered pairs gives the coordinates of the point that divides a line segment with endpoints A(-1,5) and B(5,2) in the ratio 1:2?

  1. A.(3,3)
  2. B.(-3,-3)
  3. C.(-4,-1)
  4. D.(1,4)
Deebii fi ibsa ilaalaa

Deebii: D (1,4)

Maaliif

Using the section formula x=mx2+nx1m+nx = \frac{mx_2 + nx_1}{m+n} and y=my2+ny1m+ny = \frac{my_2 + ny_1}{m+n} with ratio 1:21:2 and endpoints A(−1,5)A(-1,5), B(5,2)B(5,2) gives x=1(5)+2(−1)3=1x = \frac{1(5) + 2(-1)}{3} = 1 and y=1(2)+2(5)3=4y = \frac{1(2) + 2(5)}{3} = 4, which is the point (1,4)(1,4).

Gaaffii 8

Given sets A = {x: x²-12x+20=0} and B = {x: x²+5x-14=0}, then relative complement of A with respect to B (B\A) is:

  1. A.{-7}
  2. B.{10}
  3. C.{-7,10}
  4. D.{-10,7}
Deebii fi ibsa ilaalaa

Deebii: A {-7}

Maaliif

Solving the quadratic equations gives A={2,10}A = \{2, 10\} and B={−7,2}B = \{-7, 2\}. The relative complement B∖AB \setminus A consists of elements in BB that are not in AA, which is {−7}\{-7\}.

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Qormaatilee Herregaa biroo bara 2018 A.L.I

2018 A.L.I (2026)2018 A.L.I (2026), damee hawaasaa2018 A.L.I (2026), maxxansa 12018 A.L.I (2026), maxxansa 22018 A.L.I (2026), maxxansa 42018 A.L.I (2026), maxxansa 52018 A.L.I (2026), maxxansa 6

Qormaatilee Herregaa kan waggoota biroo

2017 A.L.I (2025)2017 A.L.I (2025), damee uumamaa2017 A.L.I (2025), maxxansa 12017 A.L.I (2025), maxxansa 22017 A.L.I (2025), maxxansa 42016 A.L.I (2024)2016 A.L.I (2024), damee uumamaa2016 A.L.I (2024), damee hawaasaaFakkeenyaa, bara 2016 A.L.I2015 A.L.I (2023)2015 A.L.I (2023), damee uumamaa2015 A.L.I (2023), damee hawaasaa2014 A.L.I (2022)2014 A.L.I (2022), damee hawaasaa2013 A.L.I (2021)2013 A.L.I (2021), maxxansa 12011 A.L.I (2019)2009 A.L.I (2017)2008 A.L.I (2016)2007 A.L.I (2015)2006 A.L.I (2014)2005 A.L.I (2013)

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Qormaatilee Herregaa kutaa 12ffaa hundaQormaatilee bara 2018 A.L.I hundaGosa barnootaa fi bara hunda

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Yaadannoon gabaabaan Herregaa kutaa 12 kaardii 32 qaba. Tokkoon tokkoon boqonnaa boqonnaadhaan kitaaba biyyaalessaa irraa qophaa'ee seericha, mallattoowwan isaa maal bakka akka bu'an fi dogoggora qabxii nama dhabsiisu ni ibsa.

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Kunneen gaaffilee dhugaa qormaata galuumsa Herregaa bara 2018 A.L.I ti?

Eeyyee. Qormaata galuumsa yunivarsiitii biyyaalessaa kan Herregaa barattoonni bara 2018 A.L.I (2026) fudhatan irraa fudhataman. Kuusaan keenya gaaffilee isaa 50 qaba; tokkoon tokkoon isaanii deebii fi ibsa gara kitaaba barnootaatti qajeelchu qabu.

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